Benchmark 9C: The Mathematical World - Shapes
(grades 3-5, page 223)
 
  • Length can be thought of as unit lengths joined together, area as a collection of unit squares, and volume as a set of unit cubes. (1 of 6)
    • Standard 10-1 page 51, Grades K-4
    Understand the attributes of length, capacity, weight, area, volume, time, temperature, and angle

    Standard 12-5, page 112, Grades 5-8
    Understand and apply geometric properties and relationships
  • If 0 and 1 are located on a line, any other number can be depicted as a position on the line. (2 of 6)
    • Standard 9-4 page 48, Grades K-4
    Relate geometric ideas to number and measurement ideas

    Standard 5-5, page 87, Grades 5-8
    Represent numerical relationships in one- and two-dimensional graphs
  • Graphical display of numbers may make it possible to spot patterns that are not otherwise obvious, such as comparative size or trends. (3 of 6)
    • Standard 11-2 page 54, Grades K-4
    Construct, read, and interpret displays of data
  • Many objects can be described in terms of simple plane figures and solids. Shapes can be compared in terms of concepts such as parallel and perpendicular, congruence, similarity, and symmetry. Symmetry can be found by reflection, turns, or slides. (4 of 6)
    • Standard 9-1 page 48, Grades K-4
    Describe, model, draw, and classify shapes

    Standard 12-5, page 112, Grades 5-8
    Understand and apply geometric properties and relationships

    Standard 12-3, page 112, Grades 5-8
    Explore transformations of geometric figures

    Standard 7-1 page 157, Grades 9-12
    Interpret and draw three-dimensional objects

    Standard 8-4 page 161, Grades 9-12
    Analyze properties of Euclidean transformations and relate translations to vectors and similar figures using transformations
  • Areas of irregular shapes can be found by dividing them into squares and triangles. (5 of 6)
    • Standard 10-1 page 51, Grades K-4
    Understand the attributes of length, capacity, weight, area, volume, time, temperature, and angle

    Standard 12-5, page 112, Grades 5-8
    Understand and apply geometric properties and relationships

    Standard 9-4 page 48, Grades K-4
    Relate geometric ideas to number and measurement ideas
  • Scale drawings show shapes and compare locations of things very different in size. (6 of 6)
    • Standard 9-4 page 48, Grades K-4
    Relate geometric ideas to number and measurement ideas

    Standard 12-4, page 112, Grades 5-8
    Represent and solve problems using geometric models